Exact Ground State of Several N-body Problems With an N-body Potential

Details Exact Ground State of Several N-body Problems With an N-body Potential Exact Ground State of Several N-body Problems With an N-body Potential

1997-12-12

arxiv.org/abs/cond-mat/9712133v1

J.Math.Phys. 40 (1999) 2640-2646

Physics

Condensed Matter

Statistical Mechanics

32 pages, No figure

Scientific paper

10.1063/1.532720

I consider several N-body problems for which exact (bosonic) ground state and a class of excited states are known in case the N-bodies are also interacting via harmonic oscillator potential. I show that for all these problems the exact (bosonic) ground state and a class of excited states can also be obtained in case they interact via an N-body potential of the form $-e^2/\sqrt{\sumr^2_i}$ (or $-e^2/\sqrt{\sum_{i

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